# Sadie Adams

Geometry teacher | Verified Expert

Greetings! I'm a dedicated geometry expert, honing my skills at Loyola University Maryland. Passionate about shaping mathematical minds, I thrive on unraveling the complexities of geometry. With a commitment to fostering understanding, I'm here to guide students through the intricacies of shapes, angles, and the beauty of mathematical relationships. Let's embark on a journey of geometric exploration together!

## Questions

What transformation is represented by the rule (x, y)→(x, −y) ?

The line segment connecting #(x_1, 6) and (9, y_2)# is bisected by the point (7, 3) . What are the values of #x_1 and y_2#?

A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #7 #, its base's sides have lengths of #5 #, and its base has a corner with an angle of #(5 pi)/8 #. What is the pyramid's surface area?

Suppose you have a traingle with sides: #a, b and c#. Using pythagorean theorem what can you deduce from the following inequality? i) #a^2+b^2 = c^2# ii) #a^2+b^2 lt c^2# iii) #a^2+b^2 gt c^2#

What is the perimeter of a triangle with corners at #(3 ,4 )#, #(4 ,8 )#, and #(8 ,7 )#?

A triangle has two corners with angles of # pi / 4 # and # (5 pi )/ 8 #. If one side of the triangle has a length of #15 #, what is the largest possible area of the triangle?

Which line is perpendicular to the line -2x + 3y = 12 ?

A triangle has corners A, B, and C located at #(3 ,4 )#, #(2 ,5 )#, and #(2 , 1 )#, respectively. What are the endpoints and length of the altitude going through corner C?

The base of a triangular pyramid is a triangle with corners at #(2 ,6 )#, #(5 ,4 )#, and #(7 ,5 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

A parallelogram has sides with lengths of #18 # and #4 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?

A circle has a chord that goes from #( 3 pi)/4 # to #(5 pi) / 4 # radians on the circle. If the area of the circle is #72 pi #, what is the length of the chord?

A triangle has corners at #(1 ,9 )#, #(3 ,8 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin?

A triangle has sides with lengths of 6, 4, and 3. What is the radius of the triangles inscribed circle?

A circle has a chord that goes from #pi/12 # to #pi/8 # radians on the circle. If the area of the circle is #32 pi #, what is the length of the chord?

Points A and B are at #(2 ,7 )# and #(4 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C?

How do you find the area of a square whose perimeter is 52 cm?

What is an equation in slope-intercept form of the line that is perpendicular to the graph of # y= -4x+5# and passes through (1, 1)?

Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 4 #, what is the longest possible perimeter of the triangle?

A triangle has two corners with angles of # pi / 2 # and # ( pi )/ 8 #. If one side of the triangle has a length of #5 #, what is the largest possible area of the triangle?

An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #6 # and the triangle has an area of #64 #. What are the lengths of sides A and B?